642168324000 has 1728 divisors, whose sum is σ = 2797663639680. Its totient is φ = 144223027200.

The previous prime is 642168323987. The next prime is 642168324023. The reversal of 642168324000 is 423861246.

642168324000 is a `hidden beast` number, since 6 + 4 + 216 + 8 + 32 + 400 + 0 = 666.

642168324000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4619915931 + ... + 4619916069.

It is an arithmetic number, because the mean of its divisors is an integer number (1619018310).

Almost surely, 2^642168324000 is an apocalyptic number.

642168324000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642168324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398831819840).

642168324000 is an abundant number, since it is smaller than the sum of its proper divisors (2155495315680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642168324000 is a wasteful number, since it uses less digits than its factorization.

642168324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 642168324000 in words is "six hundred forty-two billion, one hundred sixty-eight million, three hundred twenty-four thousand".